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Finding the Fourth Proportional to 1,385.77, 1,910.34 and 1,090.53

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Solution

The fourth proportional to 1,385.77, 1,910.34 and 1,090.53 is: 1,503.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.77 : 1,910.34 = 1,090.53 : x
  2. Step 2: Convert to fraction form
    1,385.77/1,910.34 = 1,090.53/x
  3. Step 3: Cross multiply
    1,385.77x = 1,910.34 × 1,090.53
  4. Step 4: Simplify right side
    1,385.77x = 2,083,283.08
  5. Step 5: Solve for x
    x = 2,083,283.08/1,385.77
  6. Step 6: Final answer
    x = 1,503.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.